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31345254313 = 171997044131
BaseRepresentation
bin11101001100010100…
…101001111110101001
32222220111121220100221
4131030110221332221
51003143341114223
622222205330041
72156523160042
oct351424517651
988814556327
1031345254313
111232564055a
1260a9566921
132c56cb6379
141734d898c9
15c36ca7b5d
hex74c529fa9

31345254313 has 8 divisors (see below), whose sum is σ = 34935887520. Its totient is φ = 27948709440.

The previous prime is 31345254301. The next prime is 31345254319.

31345254313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31345254313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31345254319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48521743 + ... + 48522388.

It is an arithmetic number, because the mean of its divisors is an integer number (4366985940).

Almost surely, 231345254313 is an apocalyptic number.

It is an amenable number.

31345254313 is a deficient number, since it is larger than the sum of its proper divisors (3590633207).

31345254313 is a wasteful number, since it uses less digits than its factorization.

31345254313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97044167.

The product of its digits is 64800, while the sum is 34.

The spelling of 31345254313 in words is "thirty-one billion, three hundred forty-five million, two hundred fifty-four thousand, three hundred thirteen".

Divisors: 1 17 19 323 97044131 1649750227 1843838489 31345254313